%0 Book Section
%A Cerone, Vito
%A Piga, Dario
%A Regruto, Diego
%A Tóth, Roland
%B Proceedings of  the 51st Annual Conference on Decision and Control (CDC)
%D 2012
%F eprints:2452
%I IEEE
%K Approximation methods; Closed loop systems; Linear matrix inequalities; Optimization; Polynomials; Stability analysis      Vectors
%P 6297-6302
%T Fixed order LPV controller design for LPV models in input-output form
%U http://eprints.imtlucca.it/2452/
%X In this work, a new synthesis approach is proposed to design fixed-order H∞ controllers for linear parameter-varying (LPV) systems described by input-output (I/O) models with polynomial dependence on the scheduling variables. First, by exploiting a suitable technique for polytopic outer approximation of semi-algebraic sets, the closed loop system is equivalently rewritten as an LPV I/O model depending affinely on an augmented scheduling parameter vector constrained inside a polytope. Then, the problem is reformulated in terms of bilinear matrix inequalities (BMI) and solved by means of a suitable semidefinite relaxation technique.
%Z 51st IEEE Conference on Decision and Control, held in Maui, Hawaii (USA); December 10-13 2012